1,801,350

2 × 3² × 5² × 4003

1,801,350 factors as 2 × 3^2 × 5^2 × 4003. Its 36 positive divisors give a proper-divisor sum of 3,039,486, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 4003

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 4,840,836

Proper Divisor Sum 3,039,486

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1801339 ← → #1801357

Radix Representation

Decimal	1801350
Binary	110110111110010000110 (21 bits)
Octal	0o6676206
Hexadecimal	0x1B7C86

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 4,003 8,006 12,009 20,015 24,018 36,027 40,030 60,045 72,054 100,075 120,090 180,135 200,150 300,225 360,270 600,450 900,675 1,801,350

Collatz Trajectory (114 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,801,350 900,675 2,702,026 1,351,013 4,053,040 2,026,520 1,013,260 506,630 253,315 759,946 379,973 1,139,920 569,960 284,980 142,490 71,245 213,736 106,868 53,434 26,717 80,152 40,076 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319

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